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Finding the Fourth Proportional to 2,154.59, 3,229.15 and 1,114.39

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Solution

The fourth proportional to 2,154.59, 3,229.15 and 1,114.39 is: 1,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.59 : 3,229.15 = 1,114.39 : x
  2. Step 2: Convert to fraction form
    2,154.59/3,229.15 = 1,114.39/x
  3. Step 3: Cross multiply
    2,154.59x = 3,229.15 × 1,114.39
  4. Step 4: Simplify right side
    2,154.59x = 3,598,539.01
  5. Step 5: Solve for x
    x = 3,598,539.01/2,154.59
  6. Step 6: Final answer
    x = 1,670.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.